Answer:
The perimeter of the triangle is ![12\ units](https://tex.z-dn.net/?f=12%5C%20units)
Step-by-step explanation:
Let
![A(-3,1),B(1,1),C(1,-2)](https://tex.z-dn.net/?f=A%28-3%2C1%29%2CB%281%2C1%29%2CC%281%2C-2%29)
we know that
The perimeter of triangle is equal to
![P=AB+BC+AC](https://tex.z-dn.net/?f=P%3DAB%2BBC%2BAC)
the formula to calculate the distance between two points is equal to
step 1
Find the distance AB
![A(-3,1),B(1,1)](https://tex.z-dn.net/?f=A%28-3%2C1%29%2CB%281%2C1%29)
substitute in the formula
step 2
Find the distance BC
![B(1,1),C(1,-2)](https://tex.z-dn.net/?f=B%281%2C1%29%2CC%281%2C-2%29)
substitute in the formula
step 3
Find the distance AC
![A(-3,1),C(1,-2)](https://tex.z-dn.net/?f=A%28-3%2C1%29%2CC%281%2C-2%29)
substitute in the formula
step 4
Find the perimeter
![P=AB+BC+AC](https://tex.z-dn.net/?f=P%3DAB%2BBC%2BAC)
substitute the values
![P=4+3+5=12\ units](https://tex.z-dn.net/?f=P%3D4%2B3%2B5%3D12%5C%20units)
The answer is 0.875 and you can simmplify
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Answer: 36.65 inches
Step-by-step explanation:
The length of arc with a central angle x and radius r in a circle is given by :-
![l=\frac{x}{360^{\circ}}\times2\pi r](https://tex.z-dn.net/?f=l%3D%5Cfrac%7Bx%7D%7B360%5E%7B%5Ccirc%7D%7D%5Ctimes2%5Cpi%20r)
Given : Radius of a circle = 60 inches
Central angle =![35^{\circ}](https://tex.z-dn.net/?f=35%5E%7B%5Ccirc%7D)
Now, the of length of arc is given by :-
![l=\frac{35^{\circ}}{360^{\circ}}\times2\pi(60)\\\\\Rightarrow\ l=(0.097222222222)2(3.14159265359)(60)=36.6519142918\approx36.65](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B35%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%5Ctimes2%5Cpi%2860%29%5C%5C%5C%5C%5CRightarrow%5C%20l%3D%280.097222222222%292%283.14159265359%29%2860%29%3D36.6519142918%5Capprox36.65)
Hence, the length of arc = 36.65 inches.
0.05 is 1/10 the value of 0.5